How much interest is earned at 2-% if an amount of P10,500 was invested on October 3, 2021 and will mature on June 3, 2022? (A) P174.76 B) P10,675 C) P175 (D) P1,750

Q: 1- Find the inverse by Gauss Elimination method: 0 01 [1 2 3] 2 1 2 ---R A = -2 1 0 ii- A = 4 5 6…

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Q: Show that the function g defined by YVT g(x, y) = y² + √√x²¹ 2, is not continuous at (0, 0). = (x,…

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Q: ) -12x equivalent to -9 Show y

A: Introduction: To make it less hard or difficult; to make it simpler or easier To condense an…

Q: Let P and Q be the nxn matrices. Which one of the following is false? a) det (PO) = det P. det Q b)…

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Q: By using the method of Variation Parameter, determine the correct answer for y(x) and y₂ (x) for the…

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Q: Σ n=1 2n +1 3n

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Solve 1 + 7xdx manually

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Q: Consider the solid formed by the boundaries outside the elliptic paraboloid x² + y² = z and inside…

A: we have a solid region which is inside an ellipse and outside an elliptic paraboloid. And we have to…

Q: Let f(x) € Q[x] \ Q and KC C be the splitting field of

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Q: For the​ matrixA=daig(-2,-1,2), put the following values in increasing​ order: det(A),​ rank(A),…

A: Given the matrix A=daig(-2,-1,2) is diagonal matrix Therefore the eigen values of A are -2, -1, 2.

Q: ILW (2) Consider the following clauses: C1. Noor likes all kinds of food. C2. Mango and chapati are…

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Q: Exercises: 9. Write the result using a single exponent. 415 a. 47 d. 756 723 (-13)60 (-13) 20 b. C.…

A: Solution:-

Q: the matrix has two eigen vector one (ارفق الاجابة)of this 0 플 0 -1 0 0 3/2

A: It is a vector space problem and let us find the Eigen vectors of the given matrix in the next…

Q: Consider the following ODE: dy 2xy dx y² sin(x) + x² cos(y) With y(20) = 1.6 for 20 ≤ x ≤ 70. A. Use…

A: %%ode45 clear all % y1=(y*sin(x)/(2*x))+(x*cos(y)/(2*y)); tspan = [20 70];y0 = 1.6; [x,y] =…

Q: Name the characteristics of the graph that is created by the equation below. Remember that…

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Q: There are many examples of the Fibonacci sequence in nature. O True False

A: The Fibonacci numbers, normally abbreviated as Fn are a mathematical collection wherein every…

Q: -3 5 1 6 2 -2 -5][1 -7 X₂ 9. [X3 - 4 -8 -10

A: Given ,                                                     -3   5-5    1   6-7   2-2  9x1x2x3 =…

Q: What is the value of the third decile in the following set of data? 27, 21, 22, 23, 15, 19, 20, 24,…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Use expansion by cofactors to find the determinant of the matrix.

A: Given,         wxyz21-152427-2410-3218-224035-32

Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 0 0 2 5 1 1 0 A = 3 7 2 2-2 9 20 7 -2 8…

A: Solution:-

Q: (b) Balance the chemical reaction Pb(NO3)2 + NaCl → PbCl₂ + NaNO3

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Q: 8 12 Let V₁ = 2 and v₂ 3 then the geometric description of Span {v₁, V₂} is -6 -9 a) Plane b) A set…

A: v1=2v2/3 Since v1 is a multiple of v2. So Span{v1,v2}= line through origin that contains v1 and v2…

Q: A water trough has an isosceles triangular cross section that is 40 m across the top and 15 m deep.…

A: Draw the trough as per the given condition.

Q: F 2. Create a row vector that has the following elements: 15× 10³, 25 sin 65" In 35/0.4), cos 80…

A: Given:  15×103, 2514-62, ln350.43, sin 65°cos 80°, 129, cos3π/20 and  25.5, 14 tan 58°2.12+11, 6!,…

Q: a) rsine de + (r3-2r² cose + cos0)dr = 0.

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Q: A² (3e) = 3e* (eh – 1)²

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Q: Let m be a positive integer. Define the set R= {0, 1, 2, ..., m-1}. Define new operations and on R…

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Q: f(x) = 3.x-3 et. 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our…

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Q: Consider the cylinder x² + y² = 1, and let S₁ be the part of the cylinder that lies between the…

A: The given surface is S=S1∪S2, where S1 is the part of the cylinder x2+y2=1 that lies between the…

Q: The number of degenerate basic solutions of the system, x₂+2x₂ + x3 = 4, 2x₂ + x₂ +5x₂ = 5 is ?. a)…

A: The number of degenerate basic solution of the system is nCm. So 3C2 which is 3!/2!

Q: 2 1 2345 6 Let f= 3 4 5 6 563 4 and g= be permutations in S6, written in two-line notation. 1 2 5…

A: Given- Let f = 123456125634 and g = 123456536124 be permutations in S6, written in two-line…

Q: 4) Find the total derivative of the function: a.f(x, y) = ex²+y² c. T(l,g) = 2π b. z = x siny - y…

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Q: Let C be the curve of intersection of the paraboloid a² + y² = z and the cylinder +(y-1)² = 1 (a)…

A: Given that C is the curve of intersection of the paraboloid x2 + y2 = z and the cylinder x24 + y -…

Q: Two different printing companies will print T-shirts if the design is submitted by the customer.…

A: Given that two different companies will print T-shirt. Magic printing company charges a $50 set up…

Q: I need the answer as soon as possible

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Q: y factoring and canceling, you would divide the numerator and 64 denominator by what number?

A: In this question, the concept of the Highest Common Factor (HCF) is applied. Highest Common Factor…

Q: Find the power series solution of y" - 2 xy + x²y = 0, with y(0) = 0, y '(0) = 1. Give the first…

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Q: Let 8 = {(1, 3), (-2,-2)} and 8' = {(-12, 0), (-4, 4)} be bases for R² 4 2 A - [83] be the matrix…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Convert each pair of polar coordinates to rectangular coordinates. 5π 7) 2, 3π 2 8) 1,

A: To convert each pair of coordinates to rectangular coordinates.

Q: Find the derivative of the inverse function of the following function:

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Q: Let C be the curve of intersection of the paraboloid x² + y² = z and the cylinder (a) Determine the…

A: Consider that C is the curve of intersection of the paraboloid x2 + y2 = z and the cylinder x24 + y…

Q: @ F₁ [ f(x)} = -P Fc [far proof: How.

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Q: Evaluate the double integral [fa² √4 = y² dA, R where R is the region bounded by the circle ² + y² =…

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Q: Q2) Consider the subgroup H = (i) of the the group (C\{0},.). (1) Find H (2) How many element of…

A: Normal subgroup: A subgroup H of the group G is called the normal subgroup of G if for every g∈G we…

Q: Encryt the message "GO." by translating the letter into number, applying the given encrytion…

A: Given: Message "GO" and the transfer function f(p)=(p+3) mod 26. To find: The encrypted message.

Q: Nina would like to buy burger. She went to the restaurant and has been offered to buy a meal-deal.…

A: As per the question we have to find the number of ways a meal-deal can be formed if Nina prefer : A…

Q: 1 Let ƒ(x)=x²e³² the value of — lim[ƒ(x)]¹* is: 1 a) b) c) 0 d) 1 e 1 -19 4e

A: First put value of f(x) in given limit then find the limit as in next step.

Q: If f(r) = cot + tan -1 4 -¹ (-) prove that f'(r) = 7² +4

A: In this question, the concept of derivatives is applied. Derivative A derivative can be used to…

Q: Enter the smallest subgroup of M₂ (R)* containing the matrix -5 -3 7 4 as a set

A: Given: -5-374∈M2ℝ* To find: Smallest subgroup of M2ℝ* containing given element.

Q: The graph of f is shown in Figure 1. YA 1 f

A: Taylor Series of f centered at x=a fx=fa+f'ax-a+f''ax-a22!+.........